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POST UTME IGBINEDION UNIVERSITY 2025 Physics | Objective

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Question 1

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the expectation value of its position?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{3}

Correct Answer: A

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Question 2

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source with a frequency of $\omega$, what is the impedance of the circuit?

Correct A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. R + \omega L - \frac{1}{\omega C}

C. R - \omega L + \frac{1}{\omega C}

D. \frac{1}{R} + \frac{1}{\omega L} + \frac{1}{\omega C}

Correct Answer: A

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Question 3

A ray of light passes through a prism with an angle of incidence of $\theta_i$ and an angle of re\fraction of $\theta_r$. If the prism has a re\fractive index of $n$, what is the angle of deviation?

Correct A. \arc\sin$ \sin\theta_i $ - \arc\sin$ \frac{n\sin\theta_i}{n} $

B. \arc\sin$ \sin\theta_i $ + \arc\sin$ \frac{n\sin\theta_i}{n} $

C. \arc\sin$ \sin\theta_i $ - \arc\sin$ \sin\theta_r $

D. \arc\sin$ \sin\theta_i $ + \arc\sin$ \sin\theta_r $

Correct Answer: A

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Question 4

A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, what is the ratio of the work done to the heat absorbed?

Correct A. \eta

B. 1 - \eta

C. \frac{T_1 - T_2}{T_1}

D. \frac{T_2 - T_1}{T_2}

Correct Answer: A

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Question 5

A particle of mass $m$ is projected at an angle $\theta$ to the horizontal with an initial velocity $v_0$. If the particle experiences a cons\tant acceleration $g$ due to gravity, what is the time of flight?

Correct A. \frac{2v_0\sin\theta}{g}

B. \frac{v_0\sin\theta}{g}

C. \frac{v_0\cos\theta}{g}

D. \frac{v_0\sin\theta}{g^2}

Correct Answer: A

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Question 6

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 6 m/s^2

B. 12 m/s^2

Correct C. 24 m/s^2

D. 48 m/s^2

Correct Answer: C

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Question 7

A 100 μF capacitor is connected in series with a 200 Ω resistor and a 5 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 10 ms?

Correct A. 0.025 A

B. 0.05 A

C. 0.1 A

D. 0.2 A

Correct Answer: A

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Question 8

A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the wavelength of the sound wave is 1.7 m, what is the amplitude of the sound wave?

Correct A. 0.27 m

B. 0.5 m

C. 1 m

D. 2 m

Correct Answer: A

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Question 9

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?

Correct A. 12.5 m

B. 25 m

C. 50 m

D. 100 m

Correct Answer: A

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Question 10

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 5 V battery is connected across the combination, what is the current in the 10 Ω resistor?

Correct A. 0.5 A

B. 1 A

C. 2 A

D. 5 A

Correct Answer: A

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Question 11

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 12

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, what is its angular frequency?

A. 1.0 rad/s

B. 2.0 rad/s

Correct C. 5.0 rad/s

D. 10.0 rad/s

Correct Answer: C

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Question 13

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?

A. 1.33 atm

Correct B. 2.00 atm

C. 3.00 atm

D. 4.00 atm

Correct Answer: B

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Question 14

A block of mass 5 kg is placed on a frictionless surface and attached to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is its maximum speed?

A. 2.0 m/s

B. 4.0 m/s

Correct C. 6.0 m/s

D. 8.0 m/s

Correct Answer: C

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Question 15

A light ray passes through a convex lens of focal length 20 cm. If the object dis\tance is 30 cm, what is the image dis\tance?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 16

A body of mass 2 kg is moving with a velocity of 5 m/s. If a force of 10 N is applied to the body for 2 seconds, what is the change in its kinetic energy?

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 17

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is its speed?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 18

A block of mass 5 kg is placed on a frictionless surface. A force of 15 N is applied to the block for 3 seconds. What is its acceleration?

A. 2 m/s^2

B. 3 m/s^2

Correct C. 4 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 19

A car travels from point A to point B with an average speed of 60 km/h. If the dis\tance between the two points is 240 km, what is the time taken?

A. 4 hours

Correct B. 5 hours

C. 6 hours

D. 7 hours

Correct Answer: B

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Question 20

A body is moving in a circular path with a radius of 2 m. If it completes one revolution in 4 seconds, what is its angular velocity?

A. 1.57 rad/s

B. 2.14 rad/s

Correct C. 3.14 rad/s

D. 4.19 rad/s

Correct Answer: C

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Question 21

A uniform magnetic field of magnitude 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.01 A m^2

Correct B. 0.1 A m^2

C. 1 A m^2

D. 10 A m^2

Correct Answer: B

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Question 22

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 40 Ω

B. 60 Ω

Correct C. 80 Ω

D. 100 Ω

Correct Answer: C

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Question 23

A capacitor of capaci\tance 10 μF is connected in parallel with a capacitor of capaci\tance 20 μF. What is the equivalent capaci\tance of the circuit?

A. 10 μF

B. 20 μF

Correct C. 30 μF

D. 40 μF

Correct Answer: C

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Question 24

A particle of mass 2 kg is moving in a circular path of radius 5 m with a speed of 10 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 20 N

B. 40 N

Correct C. 60 N

D. 80 N

Correct Answer: C

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Question 25

A spring of spring cons\tant 100 N/m is stretched by 0.1 m. What is the magnitude of the force exerted by the spring?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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